sol_set3 - Vroxwlrqv wr Sureohp Vhw 6 DUH 594 Dxjxvw 54/...

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Vroxwlrqv wr Sureohp Vhw 6 DUH 594 Dxjxvw 54/ 5334 Txhvwlrq 4 Wkh Hxohu htxdwlrq lv jlyhq e| ± { @3 +4, Lqwhjudwlqj htxdwlrq +4, wzlfh jlyhv wkh iroorzlqj h{suhvvlrq iru { + w , { + w ,@ f 4 w ² f 5 +5, zkhuh f 4 dqg f 5 duh frqvwdqwv ri lqwhjudwlrq1 Zh fdq vroyh iru wkhvh xvlqj wkh wzr erxqgdu| frqglwlrqv/ { +4, @ 6 dqg { +5, @ 7 1 Vxevwlwxwlqj w @4 dqg w @5 lqwr htxdwlrq +5, jlyhv f 4 ² f 5 @6 5 f 4 ² f 5 @7 Wkhvh htxdwlrqv lpso| wkdw f 4 dqg f 5 1 Vxevwlwxwlqj lqwr htxdwlrq +5, jlyhv wkh frpsohwh vroxwlrq/ qdpho|/ { + w w ²5 +6, Txhvwlrq 5 +l, Vlqfh wkh lqwhjudqg ghshqgv rqo| rq w dqg b { zh fdq zulwh wkh Hxohu htxdwlrq dv b { @ f 4 5 w 6 +7, Lqwhjudwlqj erwk vlghv jlyhv wkh vroxwlrq { + w f 4 ; w 7 ² f 5 +8, zkhuh f 4 dqg f 5 fdq eh vroyhg iru xvlqj wkh erxqgdu| frqglwlrqv/ { + d D dqg { + e E 1 4
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+ll, Wkh Hxohu htxdwlrq lv jlyhq e| ± { w @ ± 7 w +9, Lqwhjudwlqj htxdwlrq +9, wzlfh jlyhv wkh iroorzlqj h{suhvvlrq iru { + w , { + w ,@ ± 5 w 6 6 ² f 4 w ² f 5 zkhuh f 4 dqg f 5 duh frqvwdqwv ri lqwhjudwlrq1 Zh fdq vroyh iru wkhvh xvlqj wkh wzr erxqgdu| frqglwlrqv/ { + d D dqg { + e E 1 Txhvwlrq 6
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This note was uploaded on 08/01/2008 for the course ARE 263 taught by Professor Karp during the Fall '06 term at Berkeley.

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sol_set3 - Vroxwlrqv wr Sureohp Vhw 6 DUH 594 Dxjxvw 54/...

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